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A particular solution of 4y" + 4y' +y = 3xe* 4 a. C. b. - e d. 3 e. 4 e 4 X từ 3 e* + -xex 2 -xex ·xex ex + 1 = x ex xex

A particular solution of 4y" + 4y' +y = 3xe* 4 a. C. b. - e d. 3 e. 4 e 4 X từ 3 e* + -xex 2 -xex ·xex ex + 1 = x ex xex

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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### Differential Equation Problem Find a particular solution of the differential equation: \[ 4y'' + 4y' + y = 3xe^x \] #### Solution Options: a. \(-\frac{4}{3} e^x + \frac{1}{3} xe^x\) b. \(-\frac{4}{5} e^x + \frac{3}{5} xe^x\) c. \(\frac{5}{9} e^x - \frac{2}{3} xe^x\) d. \(-\frac{4}{3} e^x + \frac{1}{3} xe^x\) e. \(-\frac{4}{9} e^x + \frac{1}{3} xe^x\) #### Multiple Choice Options: - ○ a - ○ b - ○ c - ○ d - ○ e Evaluate each solution option to determine which one satisfies the given differential equation.
Transcribed Image Text:### Differential Equation Problem Find a particular solution of the differential equation: \[ 4y'' + 4y' + y = 3xe^x \] #### Solution Options: a. \(-\frac{4}{3} e^x + \frac{1}{3} xe^x\) b. \(-\frac{4}{5} e^x + \frac{3}{5} xe^x\) c. \(\frac{5}{9} e^x - \frac{2}{3} xe^x\) d. \(-\frac{4}{3} e^x + \frac{1}{3} xe^x\) e. \(-\frac{4}{9} e^x + \frac{1}{3} xe^x\) #### Multiple Choice Options: - ○ a - ○ b - ○ c - ○ d - ○ e Evaluate each solution option to determine which one satisfies the given differential equation.
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